A comparison of noninvasive reconstruction of epicardial versus transmembrane potentials in consideration of the null-space

Bernd Messnarz, Michael Seger, Gerald Fischer, Robert Modre, Friedrich Hanser, Bernhard Tilg

Research output: Contribution to journalArticle

Abstract

We compare two source formulations for the electrocardiographic forward problem in consideration of their implications for regularizing the ill-posed inverse problem. The established epicardial potential source model is compared with a bidomain-theory-based transmembrane potential source formulation. The epicardial source approach is extended to the whole heart surface including the endocardial surfaces. We introduce the concept of the numerical null and signal space to draw attention to the problems associated with the nonuniqueness of the inverse solution and show that reconstruction of null-space components is an important issue for physiologically meaningful inverse solutions. Both formulations were tested with simulated data generated with an anisotropic heart model and with clinically measured data of two patients. A linear and a recently proposed quasi-linear inverse algorithm were applied for reconstructions of the epicardial and transmembrane potential, respectively. A direct comparison of both formulations was performed in terms of computed activation times. We found the transmembrane potential-based formulation is a more promising source formulation as stronger regularization by incorporation of biophysical a priori information is permitted.
Original languageEnglish
Pages (from-to)1609-1618
JournalIEEE Transactions on Biomedical Engineering
Volume51
Issue number8
DOIs
Publication statusPublished - 2004
Externally publishedYes

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